The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
<h3>What are inequality expressions?</h3>
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
<h3>How to determine the true expression of the variable x?</h3>
The inequality expression is given as
|8x - 2| < 4
Divide through the above equations by 2
So, we have the following inequality expression
|4x - 1| < 2
Remove the absolute value sign from the inequality expression
So, we have
-2 < 4x - 1 < 2
Add 1 to all sides of the above inequality expression
So, we have
-1 < 4x < 3
Divide through the above inequality expression by 4
So, we have
-0.25 < x < 0.75
Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
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Adam made an error of 400 meters
Explanation:
Since, submarine traveling 200 meters below the surface of the ocean
and when the depth increases by 45 meters then submarine new location is
meters below from the surface of ocean.
But Adam says that new location is at -155 meters.
So, error is,
meters
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1 penny is just 1c
one nickel is 5 pennies or 5c
alrite...
p = amount of pennies in the jar
n = amount of nickels in the jar
we know there are 56 coins in the jar, thus whatever "p" and "n" are,
p + n = 56
we also know, the total value of all pennies and nickels is one buck and 52 cents, or 1.52.. that's 152 pennies.
now, we know there are 5 pennies in one nickel, so in "n" nickels, there are 5*n pennies, or 5n, thus
p + 5n = 152

solve for "p", to see how many penny coins are there.
what about the nickels? well, n = 56 - p.